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Finding the Fourth Proportional to 72,584.83, 100,167.14 and 40,753.81

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Solution

The fourth proportional to 72,584.83, 100,167.14 and 40,753.81 is: 56,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,584.83 : 100,167.14 = 40,753.81 : x
  2. Step 2: Convert to fraction form
    72,584.83/100,167.14 = 40,753.81/x
  3. Step 3: Cross multiply
    72,584.83x = 100,167.14 × 40,753.81
  4. Step 4: Simplify right side
    72,584.83x = 4,082,192,591.80
  5. Step 5: Solve for x
    x = 4,082,192,591.80/72,584.83
  6. Step 6: Final answer
    x = 56,240.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.